WZ方法与一类由含参变量积分所定义的函数的定积分计算

WZ Method and the Calculation for Definite Integrals of Functions Defined by Integrals with Parameters

讨论了如何使用连续的WZ方法的有关结果来计算一类由含参变量积分所定义的函数g(x)=∫b(x)a(x)F(x,y)dy的定积分∫bag(x)dx(a与b可为有限数,也可为无穷),由此为计算一类累次积分提供了一种完全崭新的方法,这是一种完全算法化的方法.

The calculating problem for the definite integrals such as∫^bag（x） dx is studied, where g（x） =∫^b（x）a（x）F（x,y） dy is defined by integrals with parameters. Using some results of continuous WZ method, where a and b may befinite or infinite, a completely new method for calculating a kind of iterated integrals, which is an algorithmic meth-od, is obtained.